Students will understand that solid geometric relationships, patterns, and functions can be used to develop mathematical arguments with respect to the characteristics and properties of two- and three-dimensional art.
Students will understand that visualization, spatial reasoning, and geometric modeling can be used to solve problems in multiple fields, including mathematics and art.
Math:
How can math be applied to create and interpret art?
How can technology be used to explore, expand, and interpret mathematics in terms of art?
MLR - Geometric Figures - 1.
Students represent solid figures in two dimensions.
Lessons:
Points, Lines, and Planes in Space
Prisms and Cylinders
Pyramids, Cones, and Spheres
Viewing and Making Solids and Surfaces
Plane Sections and Reflection Symmetry in Space
Applications of Solid Geometry
Students will know...
Formative Assessment
Students will be able to...
Product Summative Assessment
1. Students will know the important properties and relationships between basic two- and three-dimensional figures.
Quizzes
Prompt
1. Explain:
Explain characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Podcast
2. Students will know properties of solids and surfaces of three-dimensional figures such as prisms and cylinders.
Quizzes
Discussion
Observation
2. Interpret:
Illustrate the properties of solids and surfaces of three-dimensional figures.
Think: Think over prompts about the transformation between 2D & 3D and find examples.
Pair: Discuss as a group and begin building a 3D Kandinsky. If necessary, add words to show mathematical concepts.
Share: Share sculpture with the class and justify the relationship between art, math, and dimensions.
Technology: Blogger, Internet research, & digital camera.
Artifact:
Sculpture & Blog: Students will create a contour line self-portrait from one piece of wire, take a picture, upload it to Blogger, and compare their sculpture to this lesson's artwork.
Students will understand
how math can be applied to create and interpret art.
Students will know the important properties and relationships between basic two- and three-dimensional figures.
Students will be able to explain characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
MLR - Mathematics - Geometric Figures - 1.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art & Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
2.
Hook:
In groups, students will discuss the similarities and differences between the shapes of the objects in their discovery bag.
Learning Activity (Graphic Organizer, Cooperative Learning, Technology): * Graphic Organizer: See Unit Graphic Organizers
Cooperative Learning: Think-Pair-Share
Think: Students are grouped by different/same colored blocks to think and discuss their discovery bags.
Students will understand
how math can be applied to create and interpret art.
Students will know
properties of solids and surfaces of three-dimensional figures such as prisms and cylinders.
Students will be able to illustrate the properties of solids and surfaces of three-dimensional figures.
MLR - Mathematics - Geometric Figures - 1.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art & Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Students will understand
how math can be applied to create and interpret art.
Students will know
properties of three-dimensional figures such as pyramids and cones.
Students will be able to build three-dimensional figures.
MLR - Mathematics - Geometric Figures - 1.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art & Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Students will understand
how technology can be used to explore, expand, and interpret mathematics in terms of art.
Students will know that there are multiple views in three-dimensions that can be represented in two-dimensions.
Students will be able to imagine three-dimensions on a two-dimensional plane.
MLR - Mathematics - Geometric Figures - 1.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art & Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Students will understand
how technology can be used to explore, expand, and interpret mathematics in terms of art.
Students will know that a three-dimensional figure can be intersected a two-dimensional plane.
Students will be able to analyze the effect of an intersection of a two-dimensional plane on a three-dimensional figure.
MLR - Mathematics - Geometric Figures - 1.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art & Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Students will understand
how technology can be used to explore, expand, and interpret mathematics in terms of art.
Students will know the applications of solid geometry.
Students will be able to realize how solid geometry applies in the real world, including the field of art.
MLR - Mathematics - Geometric Figures - 1.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
MLR - Art - A. Disciplinary Literacy: Visual Arts - A2. Elements of Art & Principles of Design. Students show literacy in the art discipline by understanding and demonstrating concepts, skills, terminology, & processes. Students compare features of
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Instructional Plan/Learning Activities
Content: MathematicsMath:
- Students will understand that solid geometric relationships, patterns, and functions can be used to develop mathematical arguments with respect to the characteristics and properties of two- and three-dimensional art.
- Students will understand that visualization, spatial reasoning, and geometric modeling can be used to solve problems in multiple fields, including mathematics and art.
Math:MLR - Geometric Figures - 1.
Students will know...
Formative Assessment
Students will be able to...
Product Summative Assessment
Prompt
Discussion
Observation
Discussion
Observation
Work Sample
Work Sample
Dialogues
Knowledge
Skills
MLR - Art
Hook:
Learning Activity (Graphic Organizer, Cooperative Learning, Technology):
Artifact:
how math can be applied to create and interpret art.
Students will know the important properties and relationships between basic two- and three-dimensional figures.
Students will be able to explain characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Hook:
Learning Activity (Graphic Organizer, Cooperative Learning, Technology):
* Graphic Organizer: See Unit Graphic Organizers
Artifact: Skitch & Glogster
how math can be applied to create and interpret art.
Students will know
properties of solids and surfaces of three-dimensional figures such as prisms and cylinders.
Students will be able to illustrate the properties of solids and surfaces of three-dimensional figures.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Hook:
Learning Activity (Graphic Organizer, Cooperative Learning, Technology):
Artifact: Skitch & Glogster
how math can be applied to create and interpret art.
Students will know
properties of three-dimensional figures such as pyramids and cones.
Students will be able to build three-dimensional figures.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Hook:
Learning Activity (Graphic Organizer, Cooperative Learning, Technology):
Artifact: Nets, Tumblr, & Bubbl.
how technology can be used to explore, expand, and interpret mathematics in terms of art.
Students will know that there are multiple views in three-dimensions that can be represented in two-dimensions.
Students will be able to imagine three-dimensions on a two-dimensional plane.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Hook:
Learning Activity (Graphic Organizer, Cooperative Learning, Technology):
Artifact: Floor Plans in Google Sketchup.
how technology can be used to explore, expand, and interpret mathematics in terms of art.
Students will know that a three-dimensional figure can be intersected a two-dimensional plane.
Students will be able to analyze the effect of an intersection of a two-dimensional plane on a three-dimensional figure.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.
Hook:
Learning Activity (Graphic Organizer, Cooperative Learning, Technology):
Artifact: Calameo Publication
how technology can be used to explore, expand, and interpret mathematics in terms of art.
Students will know the applications of solid geometry.
Students will be able to realize how solid geometry applies in the real world, including the field of art.
Students represent solid figures in two dimensions.
MLR - Geometric Measurement - 3. Students will understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make their linear measurements.
composition both within an art work and among art works.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B2. Composition Skills. Students create, express, and communicate through the art discipline. Students use Elements of Art and Principles of Design to create original art works that demonstrate different styles in paintings, 3D objects, drawings from imagination and real life, and a variety of other media and visual art forms.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - B4. Exhibition.
Students select and prepare art
works for display in the classroom, school, or other community location, and articulate an artistic justification for their selection.
MLR - Art - B. Creation, Performance, and Expression - Visual Arts - E2. The Arts & Other Disciplines.
Students explain skills and
concepts that are similar across disciplines.